Zemer Kosloff
Title: Maharam extensions of nonsingular Bernoulli shifts

Abstract: The Maharam extension of a non singular transformation is an R-extension via the Radon Nykodym derivative cocycle. It plays a crucial role in the study of non singular measurable transformations which don't admit an a.c.i.m. (absolutely continuous invariant measure). We show that for a conservative, non singular, Bernoulli shift which satisfies the K-property the Maharam extension is a K-transformation. As a corollary we show that the only K-Bernoulli shifts with an a.c.i.m. are those with an equivalent stationary product measure.